A) 24
B) 12
C) 36
D) 120
E) None of these
Correct Answer: A
Solution :
Explanation Option [a] is correct. Since we cannot wear more than one ring in any finger means repetition is not allowed. Hence, the first ring can be worn in any of the available 4 fingers in 4 ways and second ring can be worn in any of the remaining 3 fingers in 3 ways and third ring can be worn in any of the required number of ways in which all the 3 rings can be worn in 4 fingers \[=4\times 3\times 2=24.\] Alternatively: We have 4 places to be filled up by 3 different things (i.e., rings), which can be done in \[^{4}{{P}_{3}}\] ways. \[^{4}{{P}_{3}}=24\]
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